|Essential Incompleteness of Arithmetic Verified by Coq - Russell O'Connor|
A constructive proof of the Goedel-Rosser incompleteness theorem has been completed using the Coq proof assistant. Some theory of classical first-order logic over an arbitrary language is formalized. A development of primitive recursive functions is given, and all primitive recursive functions are proved to be representable in a weak axiom system. Formulas and proofs are encoded as natural numbers, and functions operating on these codes are proved to be primitive recursive...
|Tubes versus Transistors - Is There An Audible Difference? - Russell O. Hamm|
Article from the Journal of The Audio Engineering Society, May 1973.
Keywords: vintage electronics; electrical engineering
|Theory Presentation Combinators - Jacques Carette|
We motivate and give semantics to theory presentation combinators as the foundational building blocks for a scalable library of theories. The key observation is that the category of contexts and fibered categories are the ideal theoretical tools for this purpose.
|Computing with Classical Real Numbers - Cezary Kaliszyk|
There are two incompatible Coq libraries that have a theory of the real numbers; the Coq standard library gives an axiomatic treatment of classical real numbers, while the CoRN library from Nijmegen defines constructively valid real numbers. Unfortunately, this means results about one structure cannot easily be used in the other structure. We present a way interfacing these two libraries by showing that their real number structures are isomorphic assuming the classical axioms already present in ...
|A computer verified, monadic, functional implementation of the integral - Russell O'Connor|
We provide a computer verified exact monadic functional implementation of the Riemann integral in type theory. Together with previous work by O'Connor, this may be seen as the beginning of the realization of Bishop's vision to use constructive mathematics as a programming language for exact analysis.
|Evaluation of aerial remote sensing techniques for defining critical geologic features pertinent to tunnel location and design - Russell, O|
Final report, issued March 1976
Keywords: Remote sensing systems
|Economic use of forages in livestock production on Corn Belt farms (Volume no.905) - Olson, Russell O. (Russell Oscar), 1917-|
Keywords: Forage plants Middle West; Animal nutrition Middle West
|A Genetic Algorithm-Based Exploration of Three Filament Models: A Case for the Magnetic Support of the G11.11-0.12 Infrared-Dark Cloud - Jason D. Fiege|
The G11.11-0.12 infrared-dark cloud has a filamentary appearance, both in extinction against the diffuse infrared emission of the Galactic plane and in emission at 850 microns. We use a novel computational technique based on an advanced genetic algorithm to explore thoroughly 3 different models of self-gravitating, pressure truncated filaments and to constrain their parameters. Specifically, the models tested are the non-magnetic Ostriker (1964) model, a generalized version of the magnetic Stodo...
|The MathScheme Library: Some Preliminary Experiments - Jacques Carette|
We present some of the experiments we have performed to best test our design for a library for MathScheme, the mechanized mathematics software system we are building. We wish for our library design to use and reflect, as much as possible, the mathematical structure present in the objects which populate the library.